442008629868
442,008,629,868 is an even composite number composed of eight prime numbers multiplied together.
442008629868 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 442008629868:
22 × 3 × 13 × 23 × 29 × 101 × 137 × 307
(2 × 2 × 3 × 13 × 23 × 29 × 101 × 137 × 307)See below for interesting mathematical facts about the number 442008629868 from the Numbermatics database.
Names of 442008629868
- Cardinal: 442008629868 can be written as Four hundred forty-two billion, eight million, six hundred twenty-nine thousand, eight hundred sixty-eight.
Scientific notation
- Scientific notation: 4.42008629868 × 1011
Factors of 442008629868
Divisors of 442008629868
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 12 13 23 26 29 39 46 52 58 69 78 87 92 101 116 137 138 156 174 202 274 276 299 303 307 348 377 404 411 548 598 606 614 667 754 822 897 921 1131 1196 1212 1228 1313 1334 1508 1644 1781 1794 1842 2001 2262 2323 2626 2668 2929 3151 3562 3588 3684 3939 3973 3991 4002 4524 4646 5252 5343 5858 6302 6969 7061 7124 7878 7946 7982 8004 8671 8787 8903 9292 9453 10686 11716 11919 11973 12604 13837 13938 14122 15756 15892 15964 17342 17574 17806 18906 21183 21372 23838 23946 26013 26709 27674 27876 28244 30199 31007 34684 35148 35612 37812 38077 40963 41511 42059 42366 47676 47892 51649 52026 53418 55348 60398 62014 67367 76154 81926 83022 84118 84732 90597 91379 91793 93021 103298 104052 106836 114231 115739 120796 122889 124028 126177 134734 152308 154947 163852 166044 168236 179881 181194 182758 183586 186042 202101 204769 206596 228462 231478 245778 252354 269468 274137 275379 309894 318251 347217 359762 362388 365516 367172 372084 401273 403091 404202 409538 456924 462956 491556 504708 539643 546767 548274 550758 614307 619788 636502 694434 713161 719524 802546 806182 808404 819076 875771 899203 954753 967357 1079286 1093534 1096548 1101516 1187927 1203819 1209273 1219711 1228614 1273004 1388868 1426322 1605092 1612364 1640301 1751542 1798406 1909506 1934714 2139483 2158572 2187068 2375854 2407638 2418546 2439422 2457228 2627313 2661997 2697609 2852644 2902071 3280602 3503084 3563781 3596812 3659133 3819012 3869428 4137263 4247959 4278966 4751708 4815276 4837092 4878844 5216549 5254626 5323994 5395218 5804142 6561204 7127562 7318266 7985991 8274526 8495918 8557932 9229279 9271093 10433098 10509252 10647988 10790436 11608284 11689639 12411789 12575641 12743877 14255124 14636532 15649647 15856243 15971982 16549052 16991836 18458558 18542186 20681669 20866196 23379278 24823578 25151282 25487754 27687837 27813279 28053353 31299294 31712486 31943964 35068917 36917116 37084372 37726923 41363338 46758556 47568729 49647156 50302564 50975508 55223467 55375674 55626558 56106706 62045007 62598588 63424972 70137834 75453846 82726676 84160059 95137458 97703057 110446934 110751348 111253116 112213412 119980627 123190811 124090014 140275668 150907692 165670401 168320118 190274916 195406114 220893868 239961254 246381622 248180028 268861697 293109171 331340802 336640236 359941881 364693589 369572433 390812228 479922508 492763244 537723394 586218342 662681604 719883762 729387178 739144866 806585091 1075446788 1094080767 1172436684 1270139741 1439767524 1458774356 1478289732 1601480543 1613170182 2188161534 2540279482 2833388653 3202961086 3226340364 3810419223 4376323068 4804441629 5080558964 5666777306 6405922172 7620838446 8500165959 9608883258 11333554612 15241676892 17000331918 19217766516 34000663836 36834052489 73668104978 110502157467 147336209956 221004314934 442008629868
- Sum of all divisors σ(n): 1223625553920
- Sum of proper divisors (its aliquot sum) s(n): 781616924052
- 442008629868 is an abundant number, because the sum of its proper divisors (781616924052) is greater than itself. Its abundance is 339608294184
Bases of 442008629868
- Binary: 1100110111010011100010001110010011011002
- Hexadecimal: 0x66E9C4726C
- Base-36: 5N20IXKC
Squares and roots of 442008629868
- 442008629868 squared (4420086298682) is 195371628877786621697424
- 442008629868 cubed (4420086298683) is 86355945995349847076938822705060032
-
The
square root of 442008629868 is 664837.2957859689 -
The
cube root of 442008629868 is 7617.4611783791
Scales and comparisons
How big is 442008629868?- 442,008,629,868 seconds is equal to 14,054 years, 26 weeks, 2 days, 14 hours, 57 minutes, 48 seconds.
-
To count from 1 to 442,008,629,868 would take you about twenty-eight thousand, one hundred nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 442008629868 cubic inches would be around 634.8 feet tall.
Recreational maths with 442008629868
- 442008629868 backwards is 868926800244
- The number of decimal digits it has is: 12
- The sum of 442008629868's digits is 57
- More coming soon!
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